Answer:
I got 6.
Step-by-step explanation:
I picked my number to be 3. I took away 1 to make it 2. I then multiplied 2 by 3, to get 6.
<h2><u>Circle Equations</u></h2>
<h3>Write the equation of a circle in standard form for the following:</h3><h3>x² − 14x + 49 + y² + 4y = 0</h3>
To write the general form of a circle into standard form, use the formula
<em>(x - h)² + (y - k)² = r²</em>
Where,
<u>(h, k)</u> is the center; and
<u>r</u> is the radius
To transform general form to standard form, group the terms that has the same variables. Replace 0 with the constant term.
- x² - 14x + 49 + y² + 4y = 0
- (x² - 14x) + (y² + 4y) = -49
Next step is to complete the square of each equation inside the parentheses.
- (x² - 14x) + (y² + 4y) = -49
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
Then factor each equation inside the parentheses.
- (x² - 14x - 49) + (y² + 4y + 2) = -49 - 49 + 2
- (x - 7)² + (y + 2)² = √2
- (x - 7)² + (y + 2)² = 4
<u>Answer:</u>
- The standard form of the circle is <u>(x - 7)² + (y + 2)² = 4</u>.
Wxndy~~
The midpoint of the segment shown below is (1, -3/2). Option A) is the correct answer.
<u>Step-by-step explanation</u>:
The two end points of the line segments are (1,2) and (1,-5).
<u>step 1</u> :
Midpoint formula = ((x1 + x2)/2 , (y1 +y 2)/2)
<u>step 2</u> :
(x1, y1) = (1, 2)
(x2, y2) = (1, -5)
<u>step 3</u> :
Substitute the values in the midpoint formula,
Midpoint = ((1 + 1)/2 , (2 -5)/2)
= ((2/2) , (-3/2))
= (1, -3/2)
5+4=9 you then would multiply it by 2 to get 18 and the order of operation is that!
Answer:
24 cubes
Step-by-step explanation:
First, we need to find the volume of the prism. To do this, we multiply the length by the width by the height, so 
. Then, we need to find the volume of one small cube, which has a length, width, and height of 
, so 
. Then we divide the volume of the prism by the volume of a cube to find how many could fit, so 
